Answer:
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Step-by-step explanation:
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Answer:
The first one is supplementary
The second one is complementary
The third one is vertical
Step-by-step explanation:
The possible ordered pairs to solve this system are (8, 14) and (6, -12).
To solve this, use the second equation, which is already solved for y and put it in for y in the first equation. From that you will simplify and solve for 0 to get:
-x^2 + 14x - 48 = 0
Factor this and solve to get the possible x values as 8 and 6. Then use them in either equation to find the appropriate values for y.
Answer:
Part 1)
Henry's location is at the ordered pair 
Libray's location is at the ordered pair 
Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Step-by-step explanation:
Part 1) Write the ordered pairs that represent Henry and the Library
we have that
Henry's location is at the ordered pair 
Libray's location is at the ordered pair 
Part 2) Describe Henry's location relative to the library
Observing the graph
Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
The height of the skyscraper is 226.32 meters (rounded to the nearest hundredth of a meter)
An illustrative diagram is shown in the attachment below:
In the diagram, /TB/ is the height of the skyscraper
/BL/ is the horizontal distance from the base of the skyscraper to where London is standing
Point E is her eye level
From the diagram, we observe that the height of skyscraper
/TB/ = /TM/ + /MB/ = x + 1.73m
Now, to determine the height of the skyscraper, we will first determine the value of x
Consider ΔTME
∠TEM = 30°
/TM/ is the opposite and
/ME/ is the adjacent
From the formula

/TM/ = x
/ME/ 389 m
Then, we can write that

∴ x = 389×tan30°
x = 224.58925 m
Recall that the height of the skyscraper /TB/ = x + 1.73m
∴ /TB/ = 224.58925m + 1.73m
/TB/ = 226.31925m
/TB/ ≅ 226.32m
Hence, the height of the skyscraper is 226.32 meters (rounded to the nearest hundredth of a meter)
Learn more here: brainly.com/question/22062913